Covariance and Gauge Invariance in Continuum Physics Application to Mechanics, Gravitation, and Electromagnetism /

• Main Author: R. Rakotomanana, Lalaonirina (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
• Edition: 1st ed. 2018.
• Series: Progress in Mathematical Physics, 73
• Subjects: Mathematical physics.; Mechanics.; Mechanics, Applied.; Mathematical Physics.; Theoretical, Mathematical and Computational Physics.; Solid Mechanics.

This book presents a Lagrangian approach model to formulate various fields of continuum physics, ranging from gradient continuum elasticity to relativistic gravito-electromagnetism. It extends the classical theories based on Riemann geometry to Riemann-Cartan geometry, and then describes non-homogen...

Table of Contents:

• General introduction
• Basic concepts on manifolds, spacetimes, and calculus of variations
• Covariance of Lagrangian density function
• Gauge invariance for gravitation and gradient continuum
• Topics in continuum mechanics and gravitation
• Topics in gravitation and electromagnetism
• General conclusion
• Annexes.